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Finding the Fourth Proportional to 357,687.60, 493,651.80 and 214,526.40

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Solution

The fourth proportional to 357,687.60, 493,651.80 and 214,526.40 is: 296,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,687.60 : 493,651.80 = 214,526.40 : x
  2. Step 2: Convert to fraction form
    357,687.60/493,651.80 = 214,526.40/x
  3. Step 3: Cross multiply
    357,687.60x = 493,651.80 × 214,526.40
  4. Step 4: Simplify right side
    357,687.60x = 105,901,343,507.52
  5. Step 5: Solve for x
    x = 105,901,343,507.52/357,687.60
  6. Step 6: Final answer
    x = 296,072.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.